Minimal quantum resources for strong non-locality
We analyse the minimum quantum resources needed to realise strong non-locality, as exemplified e.g. by the classical GHZ construction. We show that no two-qubit system, with any finite number of local measurements, can realise strong non-locality. For three-qubit systems, we show that strong non-loc...
| Principais autores: | , , , , , |
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| Formato: | Conference item |
| Publicado em: |
Schloss Dagstuhl
2018
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| _version_ | 1826274627445325824 |
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| author | Abramsky, S Barbosa, R Caru, G de Silva, N Kishida, K Mansfield, S |
| author_facet | Abramsky, S Barbosa, R Caru, G de Silva, N Kishida, K Mansfield, S |
| author_sort | Abramsky, S |
| collection | OXFORD |
| description | We analyse the minimum quantum resources needed to realise strong non-locality, as exemplified e.g. by the classical GHZ construction. We show that no two-qubit system, with any finite number of local measurements, can realise strong non-locality. For three-qubit systems, we show that strong non-locality can only be realised in the GHZ SLOCC class, and with equatorial measurements. However, we show that in this class there is an infinite family of states not LU-equivalent to the GHZ state that realise strong non-locality with finitely many measurements. These states have decreasing entanglement between one qubit and the other two, necessitating an increasing number of local measurements on the latter. |
| first_indexed | 2024-03-06T22:46:19Z |
| format | Conference item |
| id | oxford-uuid:5d4cc1f5-6b98-4ab4-adb9-c8bdd0cc7b55 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T22:46:19Z |
| publishDate | 2018 |
| publisher | Schloss Dagstuhl |
| record_format | dspace |
| spelling | oxford-uuid:5d4cc1f5-6b98-4ab4-adb9-c8bdd0cc7b552022-03-26T17:33:33ZMinimal quantum resources for strong non-localityConference itemhttp://purl.org/coar/resource_type/c_5794uuid:5d4cc1f5-6b98-4ab4-adb9-c8bdd0cc7b55Symplectic Elements at OxfordSchloss Dagstuhl2018Abramsky, SBarbosa, RCaru, Gde Silva, NKishida, KMansfield, SWe analyse the minimum quantum resources needed to realise strong non-locality, as exemplified e.g. by the classical GHZ construction. We show that no two-qubit system, with any finite number of local measurements, can realise strong non-locality. For three-qubit systems, we show that strong non-locality can only be realised in the GHZ SLOCC class, and with equatorial measurements. However, we show that in this class there is an infinite family of states not LU-equivalent to the GHZ state that realise strong non-locality with finitely many measurements. These states have decreasing entanglement between one qubit and the other two, necessitating an increasing number of local measurements on the latter. |
| spellingShingle | Abramsky, S Barbosa, R Caru, G de Silva, N Kishida, K Mansfield, S Minimal quantum resources for strong non-locality |
| title | Minimal quantum resources for strong non-locality |
| title_full | Minimal quantum resources for strong non-locality |
| title_fullStr | Minimal quantum resources for strong non-locality |
| title_full_unstemmed | Minimal quantum resources for strong non-locality |
| title_short | Minimal quantum resources for strong non-locality |
| title_sort | minimal quantum resources for strong non locality |
| work_keys_str_mv | AT abramskys minimalquantumresourcesforstrongnonlocality AT barbosar minimalquantumresourcesforstrongnonlocality AT carug minimalquantumresourcesforstrongnonlocality AT desilvan minimalquantumresourcesforstrongnonlocality AT kishidak minimalquantumresourcesforstrongnonlocality AT mansfields minimalquantumresourcesforstrongnonlocality |